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Finding the Third Proportional to 96,643.76 and 147,835.76

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Solution

The third proportional to 96,643.76 and 147,835.76 is: 226,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643.76 : 147,835.76 = 147,835.76 : x
  2. Step 2: Convert to fraction form
    96,643.76/147,835.76 = 147,835.76/x
  3. Step 3: Cross multiply
    96,643.76x = 147,835.76 × 147,835.76
  4. Step 4: Simplify right side
    96,643.76x = 21,855,411,288.00
  5. Step 5: Solve for x
    x = 21,855,411,288.00/96,643.76
  6. Step 6: Final answer
    x = 226,144.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.